Search a number
-
+
3628430 = 2513219113
BaseRepresentation
bin1101110101110110001110
320211100021022
431311312032
51412102210
6205434142
742561341
oct15656616
96740238
103628430
112059103
12126b952
139a0700
146a6458
154ba155
hex375d8e

3628430 has 48 divisors (see below), whose sum is σ = 7510320. Its totient is φ = 1257984.

The previous prime is 3628421. The next prime is 3628439. The reversal of 3628430 is 348263.

It is an interprime number because it is at equal distance from previous prime (3628421) and next prime (3628439).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3628430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32054 + ... + 32166.

It is an arithmetic number, because the mean of its divisors is an integer number (156465).

Almost surely, 23628430 is an apocalyptic number.

3628430 is an abundant number, since it is smaller than the sum of its proper divisors (3881890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3628430 is a wasteful number, since it uses less digits than its factorization.

3628430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3628430 is about 1904.8438256193. The cubic root of 3628430 is about 153.6642768003.

The spelling of 3628430 in words is "three million, six hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 113 130 169 190 226 247 338 494 565 845 1130 1235 1469 1690 2147 2470 2938 3211 4294 6422 7345 10735 14690 16055 19097 21470 27911 32110 38194 55822 95485 139555 190970 279110 362843 725686 1814215 3628430